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Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
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Exponential Functions
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
West Contra Costa Unified School District
Graphing Exponential Functions
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
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Graphs of Exponential Functions
What does an exponential pattern look like in real life? After viewing a video of the population growth of bacteria, learners use the real-life scenario to collect data and graph the result. Their conclusion should be a new type of graph...
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The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
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Transformations of the Graphs of Logarithmic and Exponential Functions
Transform your activity on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation, they examine...
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Modeling with Exponential Functions
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
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Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Learners repeat the process using different exponential functions using a slider.
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Making Money and Spreading the Flu!
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of these...
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Graphs of Exponential Functions and Logarithmic Functions
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
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Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
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Transformations and Exponential Functions
Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
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Exponential Functions f(x) = abx
Students define exponential functions and graph the equation. In this algebra instructional activity, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of each....
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Do Two Points Always Determine an Exponential Function?
Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...
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Two Points Determine an Exponential Function II
Your algebra learners will build an exponential equation given a graph with two specific points labeled.
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Equal Factors Over Equal Intervals
Exponential functions and their growth rates are explored concretely using tables in a collaborative task. Then the successive quotient is explored algebraically.
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Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
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Newton’s Law of Cooling
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between models...
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Exponential Growth versus Linear Growth II
Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.
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Applications of Exponential Functions
In this algebra worksheet, students solve word problems involving money. They calculate the interest earned over a period of time given the formula. There are 28 questions.
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Leap Into Exponential Functions
Studens identify the properties of exponents. In this algebra instructional activity, students grapha nd solve equaitons of exponential functions. They add, subtract, multiply and divide using exponents.
Curated OER
Scoring Guide for the Algebra 2/Trigonometry Test Sampler
Young scholars take an Algebra II/Trigonometry sample test. In this Algebra II/Trigonometry sample sample test lesson, students take a sample test for Algebra 2/Trigonometry. Young scholars solve 39 multiple choice/short answer...
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The “WhatPower” Function
The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are comfortable...